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Popular >

(dy)/(dx)=by

Solution

\frac{d y}{d x} = b y

Solution

y = e^{b x + c_{1}}

Solution steps

\frac{d y}{d x} = b y (x)

Solve separable ODE:

y = e^{b x + c_{1}}

y = e^{b x + c_{1}}

Graph

Popular Examples

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(dy)/(dx)-k/2 y^2=0

\frac{d y}{d x} - \frac{k}{2} y^{2} = 0

(dx)/(dt)=5-(3x)/(1000+2x)

\frac{d x}{d t} = 5 - \frac{3 x}{1000 + 2 x}

2y^'sin(t)-e^tysin(t)=e^tysin(t)

2 y^{^{'}} sin (t) - e^{t} y sin (t) = e^{t} y sin (t)

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=by ?
The solution for (dy)/(dx)=by is y=e^{bx+c_{1}}